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Finding the Fourth Proportional to 91,255.42, 125,929.92 and 50,968

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Solution

The fourth proportional to 91,255.42, 125,929.92 and 50,968 is: 70,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,255.42 : 125,929.92 = 50,968 : x
  2. Step 2: Convert to fraction form
    91,255.42/125,929.92 = 50,968/x
  3. Step 3: Cross multiply
    91,255.42x = 125,929.92 × 50,968
  4. Step 4: Simplify right side
    91,255.42x = 6,418,396,162.56
  5. Step 5: Solve for x
    x = 6,418,396,162.56/91,255.42
  6. Step 6: Final answer
    x = 70,334.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.